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Graphs%2c Networks And Algorithms by Dieter Jungnickel

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1Graphs And Algorithms In Communication Networks : Studies In Broadband, Optical, Wireless And Ad Hoc Networks

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  • Title: ➤  Graphs And Algorithms In Communication Networks : Studies In Broadband, Optical, Wireless And Ad Hoc Networks
  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 1336.59 Mbs, the file-s for this book were downloaded 22 times, the file-s went public at Wed Dec 14 2022.

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2Graphs, Networks, And Algorithms

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  • Title: ➤  Graphs, Networks, And Algorithms
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 1312.90 Mbs, the file-s for this book were downloaded 106 times, the file-s went public at Wed Nov 09 2022.

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3Graphs, Networks, And Algorithms

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  • Title: ➤  Graphs, Networks, And Algorithms
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 1452.29 Mbs, the file-s for this book were downloaded 62 times, the file-s went public at Wed Jun 15 2022.

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4Optimization Algorithms For Networks And Graphs

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  • Title: ➤  Optimization Algorithms For Networks And Graphs
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 510.32 Mbs, the file-s for this book were downloaded 85 times, the file-s went public at Mon Oct 25 2021.

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5DTIC ADA619427: Fast Parallel Algorithms For Graphs And Networks

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Many theorems in graph theory give simple characterizations for testing the existence of objects with certain properties, which can be translated into fast parallel algorithms. However, transforming these tests into algorithms for constructing such objects is often a real challenge. In this thesis we develop fast parallel (NC) algorithms for several such construction problems. The first part is about tournaments. (A tournament is a digraph in which there is precisely one arc between every two vertices.) Two classical results state that every tournament has a Hamiltonian path and every strongly connected tournament has a Hamiltonian cycle. We derive efficient parallel algorithms for finding these objects. Our algorithms yield new proofs of these theorems. In solving the cycle problem we also solve the problem of finding a Hamiltonian path with one fixed endpoint. Next we address the problem of constructing a tournament with a specified degree-sequence, and give an NC algorithm for it which achieves optimal speedup. The second part is concerned with making graphs strongly connected via orientation and augmentation. A graph is strongly orientable if its edges can be assigned orientations to yield a strongly connected digraph. Robbins' theorem states the conditions for a graph to be strongly orientable. His theorem was generalized for mixed graphs, i.e. ones that have both directed and undirected edges. We give a fast parallel algorithm for strongly orienting mixed graphs. We then solve the problem of adding a minimum number of arcs to a mixed graph to make it strongly orientable. This problem was not previously known to have even a polynomial time sequential solution \201a sequential algorithm was discovered independently by Gusfield\202. In the process of solving the general problem we derive solutions for the special cases of undirected graphs. The final part of the thesis describes a methodology which yields deterministic parallel algorithms.

“DTIC ADA619427: Fast Parallel Algorithms For Graphs And Networks” Metadata:

  • Title: ➤  DTIC ADA619427: Fast Parallel Algorithms For Graphs And Networks
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 64.26 Mbs, the file-s for this book were downloaded 78 times, the file-s went public at Tue Oct 30 2018.

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